224385440 has 96 divisors (see below), whose sum is σ = 576253440. Its totient is φ = 82252800.

The previous prime is 224385439. The next prime is 224385443. The reversal of 224385440 is 44583422.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 224385397 and 224385406.

It is not an unprimeable number, because it can be changed into a prime (224385443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93050 + ... + 95430.

It is an arithmetic number, because the mean of its divisors is an integer number (6002640).

Almost surely, 2^224385440 is an apocalyptic number.

224385440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288126720).

224385440 is an abundant number, since it is smaller than the sum of its proper divisors (351868000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224385440 is a wasteful number, since it uses less digits than its factorization.

224385440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 224385440 is about 14979.5006592343. The cubic root of 224385440 is about 607.6659349029.

The spelling of 224385440 in words is "two hundred twenty-four million, three hundred eighty-five thousand, four hundred forty".